Formulate All

Objective

Confidence: 5/5
Minimizep=1PMaterialUsedForPatternpPatternUsageFrequencyp\text{Minimize} \quad \sum_{p=1}^{P} MaterialUsedForPattern_p \cdot PatternUsageFrequency_p

Constraints

Confidence: 5/5
p=1PUnitsProducedp,t×PatternUsageFrequencypUnitsRequiredt,t{1,,T}\sum_{p=1}^{P} UnitsProduced_{p,t} \times PatternUsageFrequency_{p} \geq UnitsRequired_{t}, \quad \forall t \in \{1, \ldots, T\}
Confidence: 5/5
PatternUsageFrequencyp0,p{1,,P}PatternUsageFrequency_p \geq 0, \quad \forall p \in \{1, \ldots, P\}
Confidence: 5/5
p=1PUnitsProducedp,tPatternUsageFrequencyp0,t{1,2,,T}\sum_{p=1}^{P} \text{UnitsProduced}_{p,t} \cdot \text{PatternUsageFrequency}_{p} \geq 0, \quad \forall t \in \{1, 2, \ldots, T\}

Variables

SymbolShapeDefinitionDomain